848448 has 56 divisors (see below), whose sum is σ = 2499360. Its totient is φ = 282240.

The previous prime is 848443. The next prime is 848461. The reversal of 848448 is 844848.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (32768) is a multiple of the sum of its prime factors (512).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 848448.

It is not an unprimeable number, because it can be changed into a prime (848443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1483 + ... + 1973.

2⁸⁴⁸⁴⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 848448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249680).

848448 is an abundant number, since it is smaller than the sum of its proper divisors (1650912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

848448 is a wasteful number, since it uses less digits than its factorization.

848448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 496 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 848448 is about 921.1123709950. The cubic root of 848448 is about 94.6691352483.

Subtracting from 848448 its reverse (844848), we obtain a square (3600 = 60²).

It can be divided in two parts, 848 and 448, that added together give a 4-th power (1296 = 6⁴).

The spelling of 848448 in words is "eight hundred forty-eight thousand, four hundred forty-eight".